Coupling model for unsteady MHD flow of generalized Maxwell fluid with radiation thermal transform

doi:10.1007/s10483-016-2021-8

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (2): 137-150.doi: https://doi.org/10.1007/s10483-016-2021-8

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Coupling model for unsteady MHD flow of generalized Maxwell fluid with radiation thermal transform

Yaqing LIU^1,2, Boling GUO¹

1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
2. Gengdan Institute of Beijing University of Technology, Beijing 101301, China

收稿日期:2015-02-07 修回日期:2015-07-07 出版日期:2016-02-01 发布日期:2016-02-01
通讯作者: Yaqing LIU E-mail:liuyaqing1981@163.com
基金资助:
Project supported by the China Postdoctoral Science Foundation (No. 2015M580069)

Coupling model for unsteady MHD flow of generalized Maxwell fluid with radiation thermal transform

Yaqing LIU^1,2, Boling GUO¹

1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
2. Gengdan Institute of Beijing University of Technology, Beijing 101301, China

Received:2015-02-07 Revised:2015-07-07 Online:2016-02-01 Published:2016-02-01
Contact: Yaqing LIU E-mail:liuyaqing1981@163.com
Supported by:
Project supported by the China Postdoctoral Science Foundation (No. 2015M580069)

摘要/Abstract

摘要：

This paper introduces a new model for the Fourier law of heat conduction with the time-fractional order to the generalized Maxwell fluid. The flow is influenced by magnetic field, radiation heat, and heat source. A fractional calculus approach is used to establish the constitutive relationship coupling model of a viscoelastic fluid. We use the Laplace transform and solve ordinary differential equations with a matrix form to obtain the velocity and temperature in the Laplace domain. To obtain solutions from the Laplace space back to the original space, the numerical inversion of the Laplace transform is used. According to the results and graphs, a new theory can be constructed. Comparisons of the associated parameters and the corresponding flow and heat transfer characteristics are presented and analyzed in detail.

关键词: Laplace transform, Maxwell fluid, radiation heat, heat source, fractional derivative

Abstract:

Key words: radiation heat, Laplace transform, Maxwell fluid, fractional derivative, heat source

中图分类号:

Yaqing LIU, Boling GUO. Coupling model for unsteady MHD flow of generalized Maxwell fluid with radiation thermal transform[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(2): 137-150.

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Coupling model for unsteady MHD flow of generalized Maxwell fluid with radiation thermal transform

Coupling model for unsteady MHD flow of generalized Maxwell fluid with radiation thermal transform

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